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arXiv · 1705.08319

Calibrated Entanglement Entropy

I. Bakhmatov·N. S. Deger·J. Gutowski·E. Ó Colgáin·H. Yavartanoo
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Abstract

The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS$_3$ geometries. We briefly discuss generalisations to higher dimensions.

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I. Bakhmatov, N. S. Deger, J. Gutowski, E. Ó Colgáin, H. Yavartanoo. 2017-07-20. Calibrated Entanglement Entropy. https://doi.org/10.1007/jhep07(2017)117

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